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What is the Least Common Multiple of 68897 and 68903?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 68897 and 68903 is 4747209991.

LCM(68897,68903) = 4747209991

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Least Common Multiple of 68897 and 68903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68897 and 68903, than apply into the LCM equation.

GCF(68897,68903) = 1
LCM(68897,68903) = ( 68897 × 68903) / 1
LCM(68897,68903) = 4747209991 / 1
LCM(68897,68903) = 4747209991

Least Common Multiple (LCM) of 68897 and 68903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68897 and 68903. First we will calculate the prime factors of 68897 and 68903.

Prime Factorization of 68897

Prime factors of 68897 are 68897. Prime factorization of 68897 in exponential form is:

68897 = 688971

Prime Factorization of 68903

Prime factors of 68903 are 68903. Prime factorization of 68903 in exponential form is:

68903 = 689031

Now multiplying the highest exponent prime factors to calculate the LCM of 68897 and 68903.

LCM(68897,68903) = 688971 × 689031
LCM(68897,68903) = 4747209991